Communications in Mathematical Sciences
Volume 7 (2009)
Scaling limit of a discrete prion dynamics model
Pages: 839 – 865
This paper investigates the connection between discrete and continuous models describing prion proliferation. The scaling parameters are interpreted on biological grounds and we establish rigorous convergence statements. We also discuss, based on the asymptotic analysis, relevant boundary conditions that can be used to complete the continuous model.
Aggregation fragmentation equations; asymptotic analysis; polymerization process
2010 Mathematics Subject Classification
35B45, 45K05, 92D25